λ
Ratio Atlas
Atlas › Integer Profiles › Node 87,134,136
87,134,136
23 × 3 × 1049 × 3461
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 1049 × 3461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 218,106,000
Proper Divisor Sum 130,971,864
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #87134123 ← → #87134137

Radix Representation

Decimal 87134136
Binary 101001100011000111110111000 (27 bits)
Octal 0o514307670
Hexadecimal 0x5318FB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 1,049 2,098 3,147 3,461 4,196 6,294 6,922 8,392 10,383 12,588 13,844 20,766 25,176 27,688 41,532 83,064 3,630,589 7,261,178 10,891,767 14,522,356 21,783,534 29,044,712 43,567,068 87,134,136

Collatz Trajectory (130 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

87,134,136 43,567,068 21,783,534 10,891,767 32,675,302 16,337,651 49,012,954 24,506,477 73,519,432 36,759,716 18,379,858 9,189,929 27,569,788 13,784,894 6,892,447 20,677,342 10,338,671 31,016,014 15,508,007 46,524,022 23,262,011 69,786,034 34,893,017 104,679,052 52,339,526 26,169,763 78,509,290 39,254,645 117,763,936 58,881,968 29,440,984 14,720,492 7,360,246 3,680,123 11,040,370 5,520,185 16,560,556 8,280,278 4,140,139 12,420,418 6,210,209 18,630,628 9,315,314 4,657,657 13,972,972 6,986,486 3,493,243 10,479,730 5,239,865 15,719,596 7,859,798 3,929,899 11,789,698 5,894,849 17,684,548 8,842,274 4,421,137 13,263,412 6,631,706 3,315,853

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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